Semaphore and godzilla: Difference between revisions

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'''Semaphore''', of the [[semaphoresmic clan]], is characterized by [[49/48]] being [[tempering out|tempered out]], so the [[generator]] represents [[8/7]] and [[7/6]] equally. This results in a very low [[complexity]] 2.3.7-[[subgroup]] [[regular temperament|temperament]], with the drawback that most intervals of 7 must be out of tune by at least half of the comma 49/48, or about 18 [[cent]]s. Semaphore is a play on the words "semi-" and "fourth."

If the [[5/1|5th harmonic]]'s intervals are desired, [[5/4]] can be sensibly mapped to ~~−8~~ generators by tempering out [[81/80]], making it a [[Meantone family #Extensions|meantone temperament]]. This temperament is '''godzilla'''. A more accurate but complex mapping of 5 can be found in [[immunity]], or 5/4 itself can be made the period by tempering out [[128/125]], resulting in [[triforce]].

If the [[5/1|5th harmonic]]'s intervals are desired, [[5/4]] can be sensibly mapped to −8 generators by tempering out [[81/80]], making it a [[Meantone family #Extensions|meantone temperament]]. This temperament is '''godzilla'''. A more accurate but complex mapping of 5 can be found in [[immunity]], or 5/4 itself can be made the period by tempering out [[128/125]], resulting in [[triforce]].

See [[Semaphoresmic clan #Semaphore]] and [[Semaphoresmic clan #Godzilla|#Godzilla]] for technical data.

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== See also ==

* [[Diasem]], a [[maximum variety|max-variety-3]] JI [[detempering]] of semaphore

* [[~~Semaphore-chromatic~~ equivalence continuum]]

* [[Semaphore–chromatic equivalence continuum]]

[[Category:Temperaments]]

@@ Line 7: / Line 7: @@
 '''Semaphore''', of the [[semaphoresmic clan]], is characterized by [[49/48]] being [[tempering out|tempered out]], so the [[generator]] represents [[8/7]] and [[7/6]] equally. This results in a very low [[complexity]] 2.3.7-[[subgroup]] [[regular temperament|temperament]], with the drawback that most intervals of 7 must be out of tune by at least half of the comma 49/48, or about 18 [[cent]]s. Semaphore is a play on the words "semi-" and "fourth."
-If the [[5/1|5th harmonic]]'s intervals are desired, [[5/4]] can be sensibly mapped to &minus;8 generators by tempering out [[81/80]], making it a [[Meantone family #Extensions|meantone temperament]]. This temperament is '''godzilla'''. A more accurate but complex mapping of 5 can be found in [[immunity]], or 5/4 itself can be made the period by tempering out [[128/125]], resulting in [[triforce]].
+If the [[5/1|5th harmonic]]'s intervals are desired, [[5/4]] can be sensibly mapped to −8 generators by tempering out [[81/80]], making it a [[Meantone family #Extensions|meantone temperament]]. This temperament is '''godzilla'''. A more accurate but complex mapping of 5 can be found in [[immunity]], or 5/4 itself can be made the period by tempering out [[128/125]], resulting in [[triforce]].
 See [[Semaphoresmic clan #Semaphore]] and [[Semaphoresmic clan #Godzilla|#Godzilla]] for technical data.
@@ Line 188: / Line 188: @@
 == See also ==
 * [[Diasem]], a [[maximum variety|max-variety-3]] JI [[detempering]] of semaphore
-* [[Semaphore-chromatic equivalence continuum]]
+* [[Semaphore–chromatic equivalence continuum]]
 [[Category:Temperaments]]